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If a dealer’s profit, in units of $5000, on a newautomobile can be locked upon as a random variable X having thedensity
f(x) = 2x(1-x), 0<x<1,
CHOICES:
a.) $2500
b.) $1666.67
c.) $3333.33
d.) $1250.00
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- Consider the quantities µ1, σ1, x1, s1, µ2, σ2, x2, and s2. a. Which quantities represent parameters and which represent statistics?b. Which quantities are fixed numbers and which are variables?Over at NAIA, you are observing the average length of flight delays (excluding flights that leave on time). Your notes for ten randomly chosen days are here: Day Ave. delay (hrs:min) 1 2:00 2 1:48 3 0:19 4 0:25 5 2:18 6 0:43 7 0:13 8 0:17 9 0:34 10 3:12 If the airport claims that the delays will be no more than an hour on average, check his claim by doing the following: (a) Write the null hypothesis. (b) Write the alternative hypothesis. (c) Formulate and calculate the test-statistic. Is it a one-tail or two-tailed test? Did the airport told you the truth at 95% confidence level? (d) Determine the confidence intervalA) A sample with a mean of m=8 has sum of x=56. How many scores are in the sample? B) Find the mean for the scores in the following frequency distribution table: x F 6 1 5 4 4 2 3 2 2 1 1 0 The mean (in two decimal places)__________ C) in a sample of n=6 scores, five of the scores are each above the mean by one point. Where is the sixth score located relative to the mean. The sixth score is equal, above or below the mean and by how many points?
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- Fill this table with the missing columns: Interval Frequency Probability Probability Density 1 3 13 4 - 6 15 7-9 19 9 - 11 14 11-16 17 - 26 3Can a low barometer reading be used to predict maximum wind speed of an approaching tropical cyclone? For a random sample of tropical cyclones, let x be the lowest pressure (in millibars) as a cyclone approaches, and let y be the maximum wind speed (in miles per hour) of the cyclone. x 1004 975 992 935 989 922 y 40 100 65 145 84 153 (c) Use a calculator to verify that x = 5817, x2 = 5,645,135, y = 587, y2 = 67,315 and xy = 561,857. Compute r. (Round your answer to three decimal places.)Determine the mean value of x for the following: X: 0, 1, 2, 3, 4 P(x): .4, .1, .1, .1, .3
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